Exercise 72 Page 679

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are J(7,11) and K(-1,5).

JK = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

SubstitutePoints

Substitute ( 7,11) & ( -1,5)

JK=sqrt(( -1- 7)^2+( 5- 11)^2)

SubTerms

Subtract terms

JK=sqrt((- 8)^2+(- 6)^2)

NegBaseToPosBase

(- a)^2=a^2

JK=sqrt(8^2+6^2)

CalcPow

Calculate power

JK=sqrt(64+36)

AddTerms

Add terms

JK=sqrt(100)

CalcRoot

Calculate root

JK=10

The distance between J and K is 10 units.